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Finding the Fourth Proportional to 712.86, 1,066.86 and 517.14

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Solution

The fourth proportional to 712.86, 1,066.86 and 517.14 is: 773.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.86 : 1,066.86 = 517.14 : x
  2. Step 2: Convert to fraction form
    712.86/1,066.86 = 517.14/x
  3. Step 3: Cross multiply
    712.86x = 1,066.86 × 517.14
  4. Step 4: Simplify right side
    712.86x = 551,715.98
  5. Step 5: Solve for x
    x = 551,715.98/712.86
  6. Step 6: Final answer
    x = 773.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.